|
Search: id:A125816
|
|
|
| A125816 |
|
a(n)=((1+sqrt(13))^n+(1-sqrt(13))^n)/2. |
|
+0
3
|
|
| 1, 1, 14, 40, 248, 976, 4928, 21568, 102272, 463360, 2153984, 9868288, 45584384, 209588224, 966189056, 4447436800, 20489142272, 94347526144, 434564759552, 2001299832832, 9217376780288, 42450351554560, 195509224472576
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Binomial transform of A001022(powers of 13), with interpolated zeros . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 20 2007
|
|
FORMULA
|
a(0)=1, a(1)=1, a(n)=2*a(n-1)+12*a(n-2) for n>=2 . G.f.:(1-x)/(1-2*x-12*x^2) - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 12 2006
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*13^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 20 2007
|
|
MATHEMATICA
|
Expand[Table[((1 + Sqrt[13])^n + (1 - Sqrt[13])^n)/(2), {n, 0, 30}]] (*Artur Jasinski*)
|
|
CROSSREFS
|
Cf. A091914.
Adjacent sequences: A125813 A125814 A125815 this_sequence A125817 A125818 A125819
Sequence in context: A069126 A124707 A126368 this_sequence A105869 A056034 A039404
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Artur Jasinski (grafix(AT)csl.pl), Dec 10 2006
|
|
|
Search completed in 0.002 seconds
|
